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What is the difference between the mathematical unit "1" and the natural number 1?
The unit 1 in mathematics represents the concept of taking things as a whole, and the natural number 1 represents the actual number 1.

The unit 1 in mathematics represents the concept of taking things as a whole. For example, although it has an actual length, we regard it as 1, which means we ignore its length and only pay attention to how much it has completed. The natural number 1 represents the actual quantity of 1, such as 1 km, 1 cup, 1 hour and other actually measurable concepts.